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jesshuifeng

No. it happen because of the derivatives of sin and cos function

banana

f only reappears since taking the derivative twice of sin/cos will give you sin/cos again.

samalex

No, it happens only because it is a sin and cos function (whose second derivatives are -sin or -cos)

verylostpenguin

No, this only happens here because sin and cos have derivatives that loop

hesuyouren

No it's just bc the properties of the derivatives of sin/cos